The Łojasiewicz exponent of nondegenerate surface singularities

Details The Łojasiewicz exponent of nondegenerate surface singularities The Łojasiewicz exponent of nondegenerate surface singularities

2011-10-19

arxiv.org/abs/1110.4273v1

Mathematics

Complex Variables

21 pages, 8 figures

Scientific paper

In the article we give some estimations of the {\L}ojasiewicz exponent of
nondegenerate surface singularities in terms of their Newton diagrams. We also
give an exact formula for the {\L}ojasiewicz exponent of such singularities in
some special cases. The results are stronger than Fukui inequality [8]. It is
also a multidimensional generalization of the Lenarcik theorem [13].

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